The aftermath of Bell's tablet PC lectures
These are the lecture notes and videos of Bell's
tablet PC lectures.
Lecture 1
on 01-13 and the
video
Introduction
Lecture 2
on 01-15 and the
video
The complex exponential
Lecture 3
on 01-17 and the
video
Topology and calculus in complex plane
Lecture 4
on 01-22 and the
video
Complex power tools
Lecture 5
on 01-24 and the
video
The Cauchy-Riemann equations
Lecture 6
on 01-27 and the
video
Cauchy-Riemann equations, applications
Lecture 7
on 01-29 and the
video
Basic facts about analytic functions, more on complex exponential
Lecture 8
on 01-31 and the
video
Complex exponential as a mapping
Lecture 9
on 02-03 and the
video
Complex logarithm(s)
Lecture 10
on 02-05 and the
video
Complex inverse function theorem, i
i
, Sec. 3.4
Lecture 11
on 02-07 and the
video
Complex integration
Lecture 12
on 02-10 and the
video
Complex integration (cont'd)
Lecture 13
on 02-12 and the
video
Cauchy's theorem
Lecture 14
on 02-14 and the
video
The Cauchy integral formula
Lecture 15
on 02-17 and the
video
Liouville's theorem and the Fundamental theorem of Algebra
Lecture 16
on 02-19 and the
video
Morera's theorem and the Maximum modulus theorem
Lecture 17
on 02-21 and the
video
Averaging property and maximum principle for analytic and harmonic functions
Lecture 18
on 02-24 and the
video
More about harmonic functions
Lecture 19
on 02-26 and the
video
Power series
Lecture 20
on 02-28 and the
video
Power series, cont'd
Review
on 03-03 and the
video
Lecture 21
on 03-07 and the
video
The Cauchy integral and power series
Lecture 22
on 03-10 and the
video
Zeroes of analytic functions
Lecture 23
on 03-12 and the
video
Differentiating power series
Lecture 24
on 03-14 and the
video
Hadamard's formula
Lecture 25
on 03-24 and the
video
Uniqueness theorems, Cauchy theorem for an annulus
Lecture 26
on 03-26 and the
video
Laurent expansions
Lecture 27
on 03-28 and the
video
Isolated singularities
Lecture 28
on 03-31 and the
video
The residue theorem
Lecture 29
on 04-02 and the
video
Applications of the residue theorem
Lecture 30
on 04-04 and the
video
More residue integrals
Lecture 31
on 04-07 and the
video
Jordan's lemma
Lecture 32
on 04-09 and the
video
The argument principle
Lecture 33
on 04-11 and the
video
Rouché's theorem
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